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Finding the Fourth Proportional to 7,117, 10,675.50 and 2,253

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Solution

The fourth proportional to 7,117, 10,675.50 and 2,253 is: 3,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117 : 10,675.50 = 2,253 : x
  2. Step 2: Convert to fraction form
    7,117/10,675.50 = 2,253/x
  3. Step 3: Cross multiply
    7,117x = 10,675.50 × 2,253
  4. Step 4: Simplify right side
    7,117x = 24,051,901.50
  5. Step 5: Solve for x
    x = 24,051,901.50/7,117
  6. Step 6: Final answer
    x = 3,379.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.